Extension operators for trimmed spline spaces
2023 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 403, article id 115707Article in journal (Refereed) Published
Abstract [en]
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree p with k continuous derivatives. The construction is based on polynomial extension from neighboring elements together with projection back into the spline space. We prove stability and approximation results for the extension operator. Finally, we illustrate how we can use the extension operator to construct a stable cut isogeometric method for an elliptic model problem.
Place, publisher, year, edition, pages
Elsevier, 2023. Vol. 403, article id 115707
Keywords [en]
Splines, A-stable, Approximation results, Cut isogeometric method, Discrete extension operator, Extension operators, Piecewise polynomial functions, Spline space, Stability results, Trimmed spline space, Unfitted finite element method, Finite element method, Cut isogeometric methods, Discrete extension operators, Trimmed spline spaces, Unfitted finite element methods
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-58827DOI: 10.1016/j.cma.2022.115707ISI: 000882526600004Scopus ID: 2-s2.0-85140922298Local ID: HOA;intsam;840864OAI: oai:DiVA.org:hj-58827DiVA, id: diva2:1709240
Funder
eSSENCE - An eScience CollaborationSwedish Research Council, 2017-03911, 2018-05262, 2021-049252022-11-082022-11-082022-12-02Bibliographically approved